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ZZ Instantons and the Non-Perturbative Dual of c = 1 String Theory

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arxiv 1907.07688 v2 pith:XTBJN75F submitted 2019-07-17 hep-th

Bruno Balthazar , Victor A. Rodriguez , Xi Yin This is my paper · ORCID
classification hep-th
keywords stringnon-perturbativecloseddualtheoryamplitudescorrectionsinstantons
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We study the effect of ZZ instantons in c = 1 string theory, and demonstrate that they give rise to non-perturbative corrections to scattering amplitudes that do not saturate unitarity within the closed string sector. Beyond the leading non-perturbative order, logarithmic divergences are canceled between worldsheet diagrams of different topologies, due to the Fischler-Susskind-Polchinski mechanism. We propose that the closed string vacuum in c = 1 string theory is non-perturbatively dual to a state of the matrix quantum mechanics in which all scattering states up to a given energy with no incoming flux from the "other side" of the potential are occupied by free fermions. Under such a proposal, we find detailed agreement of non-perturbative corrections to closed string amplitudes in the worldsheet description and in the dual matrix model.

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Cited by 3 Pith papers

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  3. $c=1$, $R=1$ and $N\gg 1$: ZZ instantons in 2D String Theory and Matrix Integrals

    hep-th 2025-01 conditional novelty 6.0 of 10

    At self-dual radius, ZZ instanton normalizations from worldsheet string theory match the matrix model trans-series, with SU(2) boundary condition zero modes playing the key role.

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